1. Boyle's Law Volume V, Pressure P, P · V = Constant A certain mass of gas. When the temperature is constant, the pressure of the gas is inversely proportional to the volume of the gas.

That is P1/P2=V2/V1

2. Gay Lusack's law When the pressure P is constant, the volume V of a certain mass of gas is proportional to the absolute temperature T:

V1/V2=T1/T2=Constant When the pressure is constant, a certain mass of gas will increase (or decrease) by 1/273 the original volume when the temperature rises (or P decreases) by 1°C.

3, Charlie's law When the volume of gas V remains unchanged, a certain quality of gas, pressure P is proportional to its absolute temperature T, that is:

P1/P2=T1/T2

In a certain volume, a certain mass of gas increases (or decreases) its pressure by 1/273 every time it increases (or decreases) by 1°C.

4, the average free path:

λ=(5×10-3)/P(cm)

5, pumping speed:

S=dv/dt (l/s) or S=Q/P

Q = flow (Torr · liters / second) P = pressure (Torr) V = volume (l) t = time (seconds)

6, through the guide: C = Q / (P2-P1) (liter / second)

7, vacuum pumping time:

For atmospheric pressure to 1 Torr evacuation time formula:

t=8V/S (empirical formula)

V is the volume and S is the pumping rate. Usually t is selected within 5 to 10 minutes.

8, maintain the pump selection:

S dimension = S first/10

9, diffusion pump speed estimation:

S = 3D2 (D = diameter cm)

10, the pumping speed of the Roots pump:

S=(0.1~0.2)Sro (l/s)

11, leakage rate:

Q leakage = V(P2-P1)/(t2-t1)

Q Leakage - System Leakage Rate (mmHg·l/s)

V-system volume (l)

P1 - System pressure (mmHg) when the vacuum pump is stopped

P2 - Pressure reached after time t passes through the vacuum chamber (mmHg)

T-pressure rise time from P1 to P2 (s)

12, pumping speed selection of rough pump:

S = Q1/P pre (l/s)

S=2.3V·lg (Pa/P pre)/t

S-mechanical pump effective pumping speed Q1-vacuum system leak rate (Torr·l/s)

P Pre-Required Pre-vacuum (Torr)

V-vacuum system volume (l)

t - the time required to reach P pre-time Pa - atmospheric pressure (Torr)

13. Foreline pumping speed selection:

Transmission pumps with exhaust outlet pressures lower than one atmosphere, such as diffusion pumps, oil boosters, Roots pumps, turbomolecular pumps, etc., require a foreline pump to maintain their foreline pressure below a critical value. The pump must be able to discharge the maximum volume of the main pump. According to the principle of constant flow in each section, the following principles are:

PnSg≥PgS or Sg≥Pgs/Pn

Sg-effective pumping speed of the pre-pump (l/s)

Pn-critical upstream pressure of the main pump (maximum exhaust pressure) (l/s)

Pg-vacuum chamber maximum working pressure (Torr)

S - The effective pumping speed at Pg when the main pump is operating. (l/s)

14, diffusion pump speed calculation formula:

S=Q/P=(K·n)/(P·t) (l/s)

Where: the pumping rate of the S-test pump (l/s)

N-dropper oil column rise (cells)

T- The time required for the oil column to rise n times (seconds)

P - Pressure measured near the pump port (Torr)

K-dropper coefficient (Torr · liters/second)

K=V0·(L/n)·(Υ0/Υm)+PaΔVt

The original volume of V0-dropper and vacuum hose (l)

Length of L-dropper scale (mm)

The number of cells in the n-dropper scale

Î¥0-specific gravity of oil (g/cm3)

Î¥m-specific gravity of mercury (g/cm3)

Pa - Local Atmospheric Pressure (Torr)

â–³Vt - The corresponding volume of the cell on the scale of the dropper (in liters/division)

15. Calculation formula of geometric pumping speed of rotary vane vacuum pump:

S=πZnLKv(D2-d2)/(24×104)(l/s)

Where: Z is the number of rotors, n is the rotation speed (rpm), L is the length of the pump chamber, D is the diameter of the pump chamber, d is the diameter of the rotor (cm), Kv is the volume utilization factor (generally 95%).

16, O-type rubber tank depth B = 0.7D

D is rubber diameter, slot width C = 1.6B

17, the square rubber groove depth B = 0.8A

A is the square rubber side length, slot width C=1.67B

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